: Mathématiques: Laguerre polynomial

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Laguerre polynomial

In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834–1886), are nontrivial solutions of Laguerre's differential equation :
${\\displaystyle xy''+(1-x)y'+ny=0,\\ y=y(x)}$
which is a second-order linear differential equation. This equation has nonsingular solutions only if n is a non-negative integer.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Laguerre_polynomials)

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